LCM of 646, 315, 939, 993, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 315, 939, 993, 912 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 646, 315, 939, 993, 912. So, keep reading to learn more.
Given numbers are 646,315,939,993,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,315,939,993,912 is 168657395760.
Find LCM of 646,315,939,993,912 with Prime Factorization
| 2 | 646, 315, 939, 993, 912 |
| 3 | 323, 315, 939, 993, 456 |
| 19 | 323, 105, 313, 331, 152 |
| 17, 105, 313, 331, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 17 x 105 x 313 x 331 x 8 = 168657395760
Therefore, the lowest common multiple of 646,315,939,993,912 is 168657395760.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
646 x 315 x 939 x 993 x 912 = 173042488049760
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
646 : 1, 2, 17, 19, 34, 38, 323, 646
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
939 : 1, 3, 313, 939
993 : 1, 3, 331, 993
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,315,939,993,912, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
315:3x 3x 5x 7
939:3x 313
993:3x 331
912:2x 2x 2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 19 = 1026
Therefore, the value for common factors is 1026.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 173042488049760/(1x1026)
LCM = 173042488049760/1026
LCM = 168657395760
Thus, we can understand that the LCM of 646,315,939,993,912 is 168657395760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 646, 315, 939, 993, 912
1. What is the LCM of 646, 315, 939, 993, 912?
Answer: LCM of 646, 315, 939, 993, 912 is 168657395760.
2. How to calculate the LCM of 646, 315, 939, 993, 912?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 646, 315, 939, 993, 912.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.